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Finding the Fourth Proportional to 65,287.52, 97,908.95 and 42,953.69

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Solution

The fourth proportional to 65,287.52, 97,908.95 and 42,953.69 is: 64,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,287.52 : 97,908.95 = 42,953.69 : x
  2. Step 2: Convert to fraction form
    65,287.52/97,908.95 = 42,953.69/x
  3. Step 3: Cross multiply
    65,287.52x = 97,908.95 × 42,953.69
  4. Step 4: Simplify right side
    65,287.52x = 4,205,551,038.68
  5. Step 5: Solve for x
    x = 4,205,551,038.68/65,287.52
  6. Step 6: Final answer
    x = 64,415.85

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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.