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Finding the Fourth Proportional to 121,155.90, 181,754.64 and 46,282.74

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Solution

The fourth proportional to 121,155.90, 181,754.64 and 46,282.74 is: 69,432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,155.90 : 181,754.64 = 46,282.74 : x
  2. Step 2: Convert to fraction form
    121,155.90/181,754.64 = 46,282.74/x
  3. Step 3: Cross multiply
    121,155.90x = 181,754.64 × 46,282.74
  4. Step 4: Simplify right side
    121,155.90x = 8,412,102,746.91
  5. Step 5: Solve for x
    x = 8,412,102,746.91/121,155.90
  6. Step 6: Final answer
    x = 69,432.05

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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.