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Finding the Fourth Proportional to 137,566.35, 189,850.64 and 77,140.86

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Solution

The fourth proportional to 137,566.35, 189,850.64 and 77,140.86 is: 106,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,566.35 : 189,850.64 = 77,140.86 : x
  2. Step 2: Convert to fraction form
    137,566.35/189,850.64 = 77,140.86/x
  3. Step 3: Cross multiply
    137,566.35x = 189,850.64 × 77,140.86
  4. Step 4: Simplify right side
    137,566.35x = 14,645,240,543.51
  5. Step 5: Solve for x
    x = 14,645,240,543.51/137,566.35
  6. Step 6: Final answer
    x = 106,459.47

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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.