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Finding the Fourth Proportional to 97,411.80, 145,887.30 and 66,077.40

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Solution

The fourth proportional to 97,411.80, 145,887.30 and 66,077.40 is: 98,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,411.80 : 145,887.30 = 66,077.40 : x
  2. Step 2: Convert to fraction form
    97,411.80/145,887.30 = 66,077.40/x
  3. Step 3: Cross multiply
    97,411.80x = 145,887.30 × 66,077.40
  4. Step 4: Simplify right side
    97,411.80x = 9,639,853,477.02
  5. Step 5: Solve for x
    x = 9,639,853,477.02/97,411.80
  6. Step 6: Final answer
    x = 98,959.81

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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.