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Finding the Fourth Proportional to 121,146.66, 181,275.60 and 101,106.65

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Solution

The fourth proportional to 121,146.66, 181,275.60 and 101,106.65 is: 151,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,146.66 : 181,275.60 = 101,106.65 : x
  2. Step 2: Convert to fraction form
    121,146.66/181,275.60 = 101,106.65/x
  3. Step 3: Cross multiply
    121,146.66x = 181,275.60 × 101,106.65
  4. Step 4: Simplify right side
    121,146.66x = 18,328,169,475.08
  5. Step 5: Solve for x
    x = 18,328,169,475.08/121,146.66
  6. Step 6: Final answer
    x = 151,289.10

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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.