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Finding the Fourth Proportional to 287,053.50, 430,683.93 and 90,061.50

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Solution

The fourth proportional to 287,053.50, 430,683.93 and 90,061.50 is: 135,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,053.50 : 430,683.93 = 90,061.50 : x
  2. Step 2: Convert to fraction form
    287,053.50/430,683.93 = 90,061.50/x
  3. Step 3: Cross multiply
    287,053.50x = 430,683.93 × 90,061.50
  4. Step 4: Simplify right side
    287,053.50x = 38,788,040,761.70
  5. Step 5: Solve for x
    x = 38,788,040,761.70/287,053.50
  6. Step 6: Final answer
    x = 135,124.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.