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Finding the Fourth Proportional to 85,937.40, 128,875.28 and 29,762.42

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Solution

The fourth proportional to 85,937.40, 128,875.28 and 29,762.42 is: 44,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,937.40 : 128,875.28 = 29,762.42 : x
  2. Step 2: Convert to fraction form
    85,937.40/128,875.28 = 29,762.42/x
  3. Step 3: Cross multiply
    85,937.40x = 128,875.28 × 29,762.42
  4. Step 4: Simplify right side
    85,937.40x = 3,835,640,210.98
  5. Step 5: Solve for x
    x = 3,835,640,210.98/85,937.40
  6. Step 6: Final answer
    x = 44,632.96

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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.