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Finding the Fourth Proportional to 212,134.61, 292,746.87 and 116,647.49

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Solution

The fourth proportional to 212,134.61, 292,746.87 and 116,647.49 is: 160,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,134.61 : 292,746.87 = 116,647.49 : x
  2. Step 2: Convert to fraction form
    212,134.61/292,746.87 = 116,647.49/x
  3. Step 3: Cross multiply
    212,134.61x = 292,746.87 × 116,647.49
  4. Step 4: Simplify right side
    212,134.61x = 34,148,186,127.12
  5. Step 5: Solve for x
    x = 34,148,186,127.12/212,134.61
  6. Step 6: Final answer
    x = 160,974.14

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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.