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Finding the Fourth Proportional to 91,656.99, 137,503.02 and 31,683.30

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Solution

The fourth proportional to 91,656.99, 137,503.02 and 31,683.30 is: 47,531.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,656.99 : 137,503.02 = 31,683.30 : x
  2. Step 2: Convert to fraction form
    91,656.99/137,503.02 = 31,683.30/x
  3. Step 3: Cross multiply
    91,656.99x = 137,503.02 × 31,683.30
  4. Step 4: Simplify right side
    91,656.99x = 4,356,549,036.74
  5. Step 5: Solve for x
    x = 4,356,549,036.74/91,656.99
  6. Step 6: Final answer
    x = 47,531.01

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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.