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Finding the Fourth Proportional to 152,675.87, 210,693.86 and 83,764.87

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Solution

The fourth proportional to 152,675.87, 210,693.86 and 83,764.87 is: 115,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,675.87 : 210,693.86 = 83,764.87 : x
  2. Step 2: Convert to fraction form
    152,675.87/210,693.86 = 83,764.87/x
  3. Step 3: Cross multiply
    152,675.87x = 210,693.86 × 83,764.87
  4. Step 4: Simplify right side
    152,675.87x = 17,648,742,320.40
  5. Step 5: Solve for x
    x = 17,648,742,320.40/152,675.87
  6. Step 6: Final answer
    x = 115,596.15

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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.