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Finding the Fourth Proportional to 74,925, 112,387.50 and 19,521

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Solution

The fourth proportional to 74,925, 112,387.50 and 19,521 is: 29,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,925 : 112,387.50 = 19,521 : x
  2. Step 2: Convert to fraction form
    74,925/112,387.50 = 19,521/x
  3. Step 3: Cross multiply
    74,925x = 112,387.50 × 19,521
  4. Step 4: Simplify right side
    74,925x = 2,193,916,387.50
  5. Step 5: Solve for x
    x = 2,193,916,387.50/74,925
  6. Step 6: Final answer
    x = 29,281.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.