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Finding the Fourth Proportional to 266,002.80, 399,113.55 and 97,603.80

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Solution

The fourth proportional to 266,002.80, 399,113.55 and 97,603.80 is: 146,445.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,002.80 : 399,113.55 = 97,603.80 : x
  2. Step 2: Convert to fraction form
    266,002.80/399,113.55 = 97,603.80/x
  3. Step 3: Cross multiply
    266,002.80x = 399,113.55 × 97,603.80
  4. Step 4: Simplify right side
    266,002.80x = 38,954,999,111.49
  5. Step 5: Solve for x
    x = 38,954,999,111.49/266,002.80
  6. Step 6: Final answer
    x = 146,445.82

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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.