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Finding the Fourth Proportional to 78,047.90, 107,706.11 and 42,237.93

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Solution

The fourth proportional to 78,047.90, 107,706.11 and 42,237.93 is: 58,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,047.90 : 107,706.11 = 42,237.93 : x
  2. Step 2: Convert to fraction form
    78,047.90/107,706.11 = 42,237.93/x
  3. Step 3: Cross multiply
    78,047.90x = 107,706.11 × 42,237.93
  4. Step 4: Simplify right side
    78,047.90x = 4,549,283,134.75
  5. Step 5: Solve for x
    x = 4,549,283,134.75/78,047.90
  6. Step 6: Final answer
    x = 58,288.35

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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.