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Finding the Fourth Proportional to 66,897.60, 100,334.88 and 31,362.72

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Solution

The fourth proportional to 66,897.60, 100,334.88 and 31,362.72 is: 47,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,897.60 : 100,334.88 = 31,362.72 : x
  2. Step 2: Convert to fraction form
    66,897.60/100,334.88 = 31,362.72/x
  3. Step 3: Cross multiply
    66,897.60x = 100,334.88 × 31,362.72
  4. Step 4: Simplify right side
    66,897.60x = 3,146,774,747.67
  5. Step 5: Solve for x
    x = 3,146,774,747.67/66,897.60
  6. Step 6: Final answer
    x = 47,038.68

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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.