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Finding the Fourth Proportional to 101,641.32, 152,482.23 and 31,518

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Solution

The fourth proportional to 101,641.32, 152,482.23 and 31,518 is: 47,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,641.32 : 152,482.23 = 31,518 : x
  2. Step 2: Convert to fraction form
    101,641.32/152,482.23 = 31,518/x
  3. Step 3: Cross multiply
    101,641.32x = 152,482.23 × 31,518
  4. Step 4: Simplify right side
    101,641.32x = 4,805,934,925.14
  5. Step 5: Solve for x
    x = 4,805,934,925.14/101,641.32
  6. Step 6: Final answer
    x = 47,283.28

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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.