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Finding the Fourth Proportional to 102,197.98, 153,315.51 and 42,226.57

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Solution

The fourth proportional to 102,197.98, 153,315.51 and 42,226.57 is: 63,347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,197.98 : 153,315.51 = 42,226.57 : x
  2. Step 2: Convert to fraction form
    102,197.98/153,315.51 = 42,226.57/x
  3. Step 3: Cross multiply
    102,197.98x = 153,315.51 × 42,226.57
  4. Step 4: Simplify right side
    102,197.98x = 6,473,988,115.10
  5. Step 5: Solve for x
    x = 6,473,988,115.10/102,197.98
  6. Step 6: Final answer
    x = 63,347.52

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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.