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Finding the Fourth Proportional to 91,368, 137,072.16 and 38,822.40

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Solution

The fourth proportional to 91,368, 137,072.16 and 38,822.40 is: 58,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,368 : 137,072.16 = 38,822.40 : x
  2. Step 2: Convert to fraction form
    91,368/137,072.16 = 38,822.40/x
  3. Step 3: Cross multiply
    91,368x = 137,072.16 × 38,822.40
  4. Step 4: Simplify right side
    91,368x = 5,321,470,224.38
  5. Step 5: Solve for x
    x = 5,321,470,224.38/91,368
  6. Step 6: Final answer
    x = 58,242.17

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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.