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Finding the Fourth Proportional to 116,211.78, 160,428.60 and 77,957.64

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Solution

The fourth proportional to 116,211.78, 160,428.60 and 77,957.64 is: 107,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,211.78 : 160,428.60 = 77,957.64 : x
  2. Step 2: Convert to fraction form
    116,211.78/160,428.60 = 77,957.64/x
  3. Step 3: Cross multiply
    116,211.78x = 160,428.60 × 77,957.64
  4. Step 4: Simplify right side
    116,211.78x = 12,506,635,044.50
  5. Step 5: Solve for x
    x = 12,506,635,044.50/116,211.78
  6. Step 6: Final answer
    x = 107,619.34

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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.