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Finding the Fourth Proportional to 78,157.65, 107,857.65 and 42,347.66

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Solution

The fourth proportional to 78,157.65, 107,857.65 and 42,347.66 is: 58,439.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,157.65 : 107,857.65 = 42,347.66 : x
  2. Step 2: Convert to fraction form
    78,157.65/107,857.65 = 42,347.66/x
  3. Step 3: Cross multiply
    78,157.65x = 107,857.65 × 42,347.66
  4. Step 4: Simplify right side
    78,157.65x = 4,567,518,551.31
  5. Step 5: Solve for x
    x = 4,567,518,551.31/78,157.65
  6. Step 6: Final answer
    x = 58,439.81

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1.5x scale

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.