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Finding the Fourth Proportional to 74,655.85, 102,988.78 and 47,776.81

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Solution

The fourth proportional to 74,655.85, 102,988.78 and 47,776.81 is: 65,908.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,655.85 : 102,988.78 = 47,776.81 : x
  2. Step 2: Convert to fraction form
    74,655.85/102,988.78 = 47,776.81/x
  3. Step 3: Cross multiply
    74,655.85x = 102,988.78 × 47,776.81
  4. Step 4: Simplify right side
    74,655.85x = 4,920,475,374.19
  5. Step 5: Solve for x
    x = 4,920,475,374.19/74,655.85
  6. Step 6: Final answer
    x = 65,908.77

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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.