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Finding the Fourth Proportional to 131,472, 181,468.58 and 77,775.68

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Solution

The fourth proportional to 131,472, 181,468.58 and 77,775.68 is: 107,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,472 : 181,468.58 = 77,775.68 : x
  2. Step 2: Convert to fraction form
    131,472/181,468.58 = 77,775.68/x
  3. Step 3: Cross multiply
    131,472x = 181,468.58 × 77,775.68
  4. Step 4: Simplify right side
    131,472x = 14,113,840,911.91
  5. Step 5: Solve for x
    x = 14,113,840,911.91/131,472
  6. Step 6: Final answer
    x = 107,352.45

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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.