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Finding the Fourth Proportional to 287,124.31, 430,686.48 and 76,756.78

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Solution

The fourth proportional to 287,124.31, 430,686.48 and 76,756.78 is: 115,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,124.31 : 430,686.48 = 76,756.78 : x
  2. Step 2: Convert to fraction form
    287,124.31/430,686.48 = 76,756.78/x
  3. Step 3: Cross multiply
    287,124.31x = 430,686.48 × 76,756.78
  4. Step 4: Simplify right side
    287,124.31x = 33,058,108,220.53
  5. Step 5: Solve for x
    x = 33,058,108,220.53/287,124.31
  6. Step 6: Final answer
    x = 115,135.18

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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.