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Finding the Fourth Proportional to 157,681.62, 236,356.32 and 78,629.77

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Solution

The fourth proportional to 157,681.62, 236,356.32 and 78,629.77 is: 117,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,681.62 : 236,356.32 = 78,629.77 : x
  2. Step 2: Convert to fraction form
    157,681.62/236,356.32 = 78,629.77/x
  3. Step 3: Cross multiply
    157,681.62x = 236,356.32 × 78,629.77
  4. Step 4: Simplify right side
    157,681.62x = 18,584,643,079.65
  5. Step 5: Solve for x
    x = 18,584,643,079.65/157,681.62
  6. Step 6: Final answer
    x = 117,861.82

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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.