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Finding the Fourth Proportional to 97,099.18, 145,500.40 and 65,392

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Solution

The fourth proportional to 97,099.18, 145,500.40 and 65,392 is: 97,988.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,099.18 : 145,500.40 = 65,392 : x
  2. Step 2: Convert to fraction form
    97,099.18/145,500.40 = 65,392/x
  3. Step 3: Cross multiply
    97,099.18x = 145,500.40 × 65,392
  4. Step 4: Simplify right side
    97,099.18x = 9,514,562,156.80
  5. Step 5: Solve for x
    x = 9,514,562,156.80/97,099.18
  6. Step 6: Final answer
    x = 97,988.08

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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.