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Finding the Fourth Proportional to 157,678.80, 236,397.72 and 78,848.40

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Solution

The fourth proportional to 157,678.80, 236,397.72 and 78,848.40 is: 118,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,678.80 : 236,397.72 = 78,848.40 : x
  2. Step 2: Convert to fraction form
    157,678.80/236,397.72 = 78,848.40/x
  3. Step 3: Cross multiply
    157,678.80x = 236,397.72 × 78,848.40
  4. Step 4: Simplify right side
    157,678.80x = 18,639,581,985.65
  5. Step 5: Solve for x
    x = 18,639,581,985.65/157,678.80
  6. Step 6: Final answer
    x = 118,212.35

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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.