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Finding the Fourth Proportional to 74,421, 102,702.60 and 40,887

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Solution

The fourth proportional to 74,421, 102,702.60 and 40,887 is: 56,424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,421 : 102,702.60 = 40,887 : x
  2. Step 2: Convert to fraction form
    74,421/102,702.60 = 40,887/x
  3. Step 3: Cross multiply
    74,421x = 102,702.60 × 40,887
  4. Step 4: Simplify right side
    74,421x = 4,199,201,206.20
  5. Step 5: Solve for x
    x = 4,199,201,206.20/74,421
  6. Step 6: Final answer
    x = 56,424.95

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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.