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Finding the Fourth Proportional to 316,038.52, 474,071.62 and 91,421.66

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Solution

The fourth proportional to 316,038.52, 474,071.62 and 91,421.66 is: 137,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,038.52 : 474,071.62 = 91,421.66 : x
  2. Step 2: Convert to fraction form
    316,038.52/474,071.62 = 91,421.66/x
  3. Step 3: Cross multiply
    316,038.52x = 474,071.62 × 91,421.66
  4. Step 4: Simplify right side
    316,038.52x = 43,340,414,459.29
  5. Step 5: Solve for x
    x = 43,340,414,459.29/316,038.52
  6. Step 6: Final answer
    x = 137,136.49

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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.