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Finding the Fourth Proportional to 156,708, 216,257.04 and 89,640

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Solution

The fourth proportional to 156,708, 216,257.04 and 89,640 is: 123,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,708 : 216,257.04 = 89,640 : x
  2. Step 2: Convert to fraction form
    156,708/216,257.04 = 89,640/x
  3. Step 3: Cross multiply
    156,708x = 216,257.04 × 89,640
  4. Step 4: Simplify right side
    156,708x = 19,385,281,065.60
  5. Step 5: Solve for x
    x = 19,385,281,065.60/156,708
  6. Step 6: Final answer
    x = 123,703.20

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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.