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Finding the Fourth Proportional to 145,007.82, 217,424.12 and 65,031.26

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Solution

The fourth proportional to 145,007.82, 217,424.12 and 65,031.26 is: 97,507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,007.82 : 217,424.12 = 65,031.26 : x
  2. Step 2: Convert to fraction form
    145,007.82/217,424.12 = 65,031.26/x
  3. Step 3: Cross multiply
    145,007.82x = 217,424.12 × 65,031.26
  4. Step 4: Simplify right side
    145,007.82x = 14,139,363,065.71
  5. Step 5: Solve for x
    x = 14,139,363,065.71/145,007.82
  6. Step 6: Final answer
    x = 97,507.59

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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.