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Finding the Fourth Proportional to 212,978.40, 318,802.80 and 156,881.76

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Solution

The fourth proportional to 212,978.40, 318,802.80 and 156,881.76 is: 234,832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,978.40 : 318,802.80 = 156,881.76 : x
  2. Step 2: Convert to fraction form
    212,978.40/318,802.80 = 156,881.76/x
  3. Step 3: Cross multiply
    212,978.40x = 318,802.80 × 156,881.76
  4. Step 4: Simplify right side
    212,978.40x = 50,014,344,356.93
  5. Step 5: Solve for x
    x = 50,014,344,356.93/212,978.40
  6. Step 6: Final answer
    x = 234,832.94

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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.