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Finding the Fourth Proportional to 132,643.02, 198,698.04 and 65,881.20

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Solution

The fourth proportional to 132,643.02, 198,698.04 and 65,881.20 is: 98,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,643.02 : 198,698.04 = 65,881.20 : x
  2. Step 2: Convert to fraction form
    132,643.02/198,698.04 = 65,881.20/x
  3. Step 3: Cross multiply
    132,643.02x = 198,698.04 × 65,881.20
  4. Step 4: Simplify right side
    132,643.02x = 13,090,465,312.85
  5. Step 5: Solve for x
    x = 13,090,465,312.85/132,643.02
  6. Step 6: Final answer
    x = 98,689.44

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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.