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Finding the Fourth Proportional to 137,315, 189,497.58 and 77,699

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Solution

The fourth proportional to 137,315, 189,497.58 and 77,699 is: 107,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,315 : 189,497.58 = 77,699 : x
  2. Step 2: Convert to fraction form
    137,315/189,497.58 = 77,699/x
  3. Step 3: Cross multiply
    137,315x = 189,497.58 × 77,699
  4. Step 4: Simplify right side
    137,315x = 14,723,772,468.42
  5. Step 5: Solve for x
    x = 14,723,772,468.42/137,315
  6. Step 6: Final answer
    x = 107,226.25

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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.