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Finding the Fourth Proportional to 78,542.40, 117,813.60 and 70,013.10

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Solution

The fourth proportional to 78,542.40, 117,813.60 and 70,013.10 is: 105,019.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,542.40 : 117,813.60 = 70,013.10 : x
  2. Step 2: Convert to fraction form
    78,542.40/117,813.60 = 70,013.10/x
  3. Step 3: Cross multiply
    78,542.40x = 117,813.60 × 70,013.10
  4. Step 4: Simplify right side
    78,542.40x = 8,248,495,358.16
  5. Step 5: Solve for x
    x = 8,248,495,358.16/78,542.40
  6. Step 6: Final answer
    x = 105,019.65

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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.