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Finding the Fourth Proportional to 89,881.42, 124,041.90 and 51,653.20

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Solution

The fourth proportional to 89,881.42, 124,041.90 and 51,653.20 is: 71,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,881.42 : 124,041.90 = 51,653.20 : x
  2. Step 2: Convert to fraction form
    89,881.42/124,041.90 = 51,653.20/x
  3. Step 3: Cross multiply
    89,881.42x = 124,041.90 × 51,653.20
  4. Step 4: Simplify right side
    89,881.42x = 6,407,161,069.08
  5. Step 5: Solve for x
    x = 6,407,161,069.08/89,881.42
  6. Step 6: Final answer
    x = 71,284.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.