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Finding the Fourth Proportional to 78,240.70, 107,971.95 and 42,430.60

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Solution

The fourth proportional to 78,240.70, 107,971.95 and 42,430.60 is: 58,554.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,240.70 : 107,971.95 = 42,430.60 : x
  2. Step 2: Convert to fraction form
    78,240.70/107,971.95 = 42,430.60/x
  3. Step 3: Cross multiply
    78,240.70x = 107,971.95 × 42,430.60
  4. Step 4: Simplify right side
    78,240.70x = 4,581,314,621.67
  5. Step 5: Solve for x
    x = 4,581,314,621.67/78,240.70
  6. Step 6: Final answer
    x = 58,554.11

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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.