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Finding the Fourth Proportional to 74,407.34, 102,681.84 and 40,415.55

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Solution

The fourth proportional to 74,407.34, 102,681.84 and 40,415.55 is: 55,773.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,407.34 : 102,681.84 = 40,415.55 : x
  2. Step 2: Convert to fraction form
    74,407.34/102,681.84 = 40,415.55/x
  3. Step 3: Cross multiply
    74,407.34x = 102,681.84 × 40,415.55
  4. Step 4: Simplify right side
    74,407.34x = 4,149,943,038.61
  5. Step 5: Solve for x
    x = 4,149,943,038.61/74,407.34
  6. Step 6: Final answer
    x = 55,773.31

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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.