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Finding the Fourth Proportional to 137,316, 189,498.96 and 77,700

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Solution

The fourth proportional to 137,316, 189,498.96 and 77,700 is: 107,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,316 : 189,498.96 = 77,700 : x
  2. Step 2: Convert to fraction form
    137,316/189,498.96 = 77,700/x
  3. Step 3: Cross multiply
    137,316x = 189,498.96 × 77,700
  4. Step 4: Simplify right side
    137,316x = 14,724,069,192
  5. Step 5: Solve for x
    x = 14,724,069,192/137,316
  6. Step 6: Final answer
    x = 107,227.63

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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.