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Finding the Fourth Proportional to 70,988.16, 106,211.52 and 42,804.48

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Solution

The fourth proportional to 70,988.16, 106,211.52 and 42,804.48 is: 64,043.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,988.16 : 106,211.52 = 42,804.48 : x
  2. Step 2: Convert to fraction form
    70,988.16/106,211.52 = 42,804.48/x
  3. Step 3: Cross multiply
    70,988.16x = 106,211.52 × 42,804.48
  4. Step 4: Simplify right side
    70,988.16x = 4,546,328,883.61
  5. Step 5: Solve for x
    x = 4,546,328,883.61/70,988.16
  6. Step 6: Final answer
    x = 64,043.48

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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.