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Finding the Fourth Proportional to 97,934.80, 147,080.40 and 85,687.60

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Solution

The fourth proportional to 97,934.80, 147,080.40 and 85,687.60 is: 128,687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,934.80 : 147,080.40 = 85,687.60 : x
  2. Step 2: Convert to fraction form
    97,934.80/147,080.40 = 85,687.60/x
  3. Step 3: Cross multiply
    97,934.80x = 147,080.40 × 85,687.60
  4. Step 4: Simplify right side
    97,934.80x = 12,602,966,483.04
  5. Step 5: Solve for x
    x = 12,602,966,483.04/97,934.80
  6. Step 6: Final answer
    x = 128,687.32

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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.