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Finding the Fourth Proportional to 78,307.60, 117,461.48 and 36,754.64

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Solution

The fourth proportional to 78,307.60, 117,461.48 and 36,754.64 is: 55,132.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,307.60 : 117,461.48 = 36,754.64 : x
  2. Step 2: Convert to fraction form
    78,307.60/117,461.48 = 36,754.64/x
  3. Step 3: Cross multiply
    78,307.60x = 117,461.48 × 36,754.64
  4. Step 4: Simplify right side
    78,307.60x = 4,317,254,411.27
  5. Step 5: Solve for x
    x = 4,317,254,411.27/78,307.60
  6. Step 6: Final answer
    x = 55,132.00

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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.