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Finding the Fourth Proportional to 74,461, 102,756.18 and 40,927

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Solution

The fourth proportional to 74,461, 102,756.18 and 40,927 is: 56,479.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,461 : 102,756.18 = 40,927 : x
  2. Step 2: Convert to fraction form
    74,461/102,756.18 = 40,927/x
  3. Step 3: Cross multiply
    74,461x = 102,756.18 × 40,927
  4. Step 4: Simplify right side
    74,461x = 4,205,502,178.86
  5. Step 5: Solve for x
    x = 4,205,502,178.86/74,461
  6. Step 6: Final answer
    x = 56,479.26

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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.