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Finding the Fourth Proportional to 121,652.51, 182,488.35 and 42,784.43

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Solution

The fourth proportional to 121,652.51, 182,488.35 and 42,784.43 is: 64,180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,652.51 : 182,488.35 = 42,784.43 : x
  2. Step 2: Convert to fraction form
    121,652.51/182,488.35 = 42,784.43/x
  3. Step 3: Cross multiply
    121,652.51x = 182,488.35 × 42,784.43
  4. Step 4: Simplify right side
    121,652.51x = 7,807,660,036.39
  5. Step 5: Solve for x
    x = 7,807,660,036.39/121,652.51
  6. Step 6: Final answer
    x = 64,180.02

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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.