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Finding the Fourth Proportional to 78,312.40, 117,468.60 and 38,946.40

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Solution

The fourth proportional to 78,312.40, 117,468.60 and 38,946.40 is: 58,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,312.40 : 117,468.60 = 38,946.40 : x
  2. Step 2: Convert to fraction form
    78,312.40/117,468.60 = 38,946.40/x
  3. Step 3: Cross multiply
    78,312.40x = 117,468.60 × 38,946.40
  4. Step 4: Simplify right side
    78,312.40x = 4,574,979,083.04
  5. Step 5: Solve for x
    x = 4,574,979,083.04/78,312.40
  6. Step 6: Final answer
    x = 58,419.60

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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.