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Finding the Fourth Proportional to 72,307.98, 99,784.02 and 40,476.90

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Solution

The fourth proportional to 72,307.98, 99,784.02 and 40,476.90 is: 55,857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,307.98 : 99,784.02 = 40,476.90 : x
  2. Step 2: Convert to fraction form
    72,307.98/99,784.02 = 40,476.90/x
  3. Step 3: Cross multiply
    72,307.98x = 99,784.02 × 40,476.90
  4. Step 4: Simplify right side
    72,307.98x = 4,038,947,799.14
  5. Step 5: Solve for x
    x = 4,038,947,799.14/72,307.98
  6. Step 6: Final answer
    x = 55,857.57

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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.