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Finding the Fourth Proportional to 212,707.52, 319,049.76 and 64,952

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Solution

The fourth proportional to 212,707.52, 319,049.76 and 64,952 is: 97,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,707.52 : 319,049.76 = 64,952 : x
  2. Step 2: Convert to fraction form
    212,707.52/319,049.76 = 64,952/x
  3. Step 3: Cross multiply
    212,707.52x = 319,049.76 × 64,952
  4. Step 4: Simplify right side
    212,707.52x = 20,722,920,011.52
  5. Step 5: Solve for x
    x = 20,722,920,011.52/212,707.52
  6. Step 6: Final answer
    x = 97,424.48

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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.