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Finding the Fourth Proportional to 64,816.40, 97,246.20 and 31,557.20

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Solution

The fourth proportional to 64,816.40, 97,246.20 and 31,557.20 is: 47,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,816.40 : 97,246.20 = 31,557.20 : x
  2. Step 2: Convert to fraction form
    64,816.40/97,246.20 = 31,557.20/x
  3. Step 3: Cross multiply
    64,816.40x = 97,246.20 × 31,557.20
  4. Step 4: Simplify right side
    64,816.40x = 3,068,817,782.64
  5. Step 5: Solve for x
    x = 3,068,817,782.64/64,816.40
  6. Step 6: Final answer
    x = 47,346.32

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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.