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Finding the Fourth Proportional to 142,013.27, 195,978.95 and 78,352.94

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Solution

The fourth proportional to 142,013.27, 195,978.95 and 78,352.94 is: 108,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,013.27 : 195,978.95 = 78,352.94 : x
  2. Step 2: Convert to fraction form
    142,013.27/195,978.95 = 78,352.94/x
  3. Step 3: Cross multiply
    142,013.27x = 195,978.95 × 78,352.94
  4. Step 4: Simplify right side
    142,013.27x = 15,355,525,538.95
  5. Step 5: Solve for x
    x = 15,355,525,538.95/142,013.27
  6. Step 6: Final answer
    x = 108,127.40

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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.