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Finding the Fourth Proportional to 109,722.50, 151,417.08 and 59,421.50

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Solution

The fourth proportional to 109,722.50, 151,417.08 and 59,421.50 is: 82,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,722.50 : 151,417.08 = 59,421.50 : x
  2. Step 2: Convert to fraction form
    109,722.50/151,417.08 = 59,421.50/x
  3. Step 3: Cross multiply
    109,722.50x = 151,417.08 × 59,421.50
  4. Step 4: Simplify right side
    109,722.50x = 8,997,430,019.22
  5. Step 5: Solve for x
    x = 8,997,430,019.22/109,722.50
  6. Step 6: Final answer
    x = 82,001.69

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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.