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Finding the Fourth Proportional to 14,238,475.92, 19,648,978.38 and 7,711,952.76

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Solution

The fourth proportional to 14,238,475.92, 19,648,978.38 and 7,711,952.76 is: 10,642,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238,475.92 : 19,648,978.38 = 7,711,952.76 : x
  2. Step 2: Convert to fraction form
    14,238,475.92/19,648,978.38 = 7,711,952.76/x
  3. Step 3: Cross multiply
    14,238,475.92x = 19,648,978.38 × 7,711,952.76
  4. Step 4: Simplify right side
    14,238,475.92x = 151,531,993,048,821.31
  5. Step 5: Solve for x
    x = 151,531,993,048,821.31/14,238,475.92
  6. Step 6: Final answer
    x = 10,642,430.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.