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Finding the Fourth Proportional to 116,159.49, 160,349.13 and 78,484.77

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Solution

The fourth proportional to 116,159.49, 160,349.13 and 78,484.77 is: 108,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,159.49 : 160,349.13 = 78,484.77 : x
  2. Step 2: Convert to fraction form
    116,159.49/160,349.13 = 78,484.77/x
  3. Step 3: Cross multiply
    116,159.49x = 160,349.13 × 78,484.77
  4. Step 4: Simplify right side
    116,159.49x = 12,584,964,587.75
  5. Step 5: Solve for x
    x = 12,584,964,587.75/116,159.49
  6. Step 6: Final answer
    x = 108,342.11

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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.