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Finding the Fourth Proportional to 64,970.60, 97,455.90 and 47,474.60

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Solution

The fourth proportional to 64,970.60, 97,455.90 and 47,474.60 is: 71,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,970.60 : 97,455.90 = 47,474.60 : x
  2. Step 2: Convert to fraction form
    64,970.60/97,455.90 = 47,474.60/x
  3. Step 3: Cross multiply
    64,970.60x = 97,455.90 × 47,474.60
  4. Step 4: Simplify right side
    64,970.60x = 4,626,679,870.14
  5. Step 5: Solve for x
    x = 4,626,679,870.14/64,970.60
  6. Step 6: Final answer
    x = 71,211.90

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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.