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Finding the Fourth Proportional to 100,837.08, 138,916.08 and 70,569

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Solution

The fourth proportional to 100,837.08, 138,916.08 and 70,569 is: 97,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,837.08 : 138,916.08 = 70,569 : x
  2. Step 2: Convert to fraction form
    100,837.08/138,916.08 = 70,569/x
  3. Step 3: Cross multiply
    100,837.08x = 138,916.08 × 70,569
  4. Step 4: Simplify right side
    100,837.08x = 9,803,168,849.52
  5. Step 5: Solve for x
    x = 9,803,168,849.52/100,837.08
  6. Step 6: Final answer
    x = 97,217.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.