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Finding the Fourth Proportional to 97,978.32, 146,718.18 and 64,597.11

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Solution

The fourth proportional to 97,978.32, 146,718.18 and 64,597.11 is: 96,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,978.32 : 146,718.18 = 64,597.11 : x
  2. Step 2: Convert to fraction form
    97,978.32/146,718.18 = 64,597.11/x
  3. Step 3: Cross multiply
    97,978.32x = 146,718.18 × 64,597.11
  4. Step 4: Simplify right side
    97,978.32x = 9,477,570,412.46
  5. Step 5: Solve for x
    x = 9,477,570,412.46/97,978.32
  6. Step 6: Final answer
    x = 96,731.30

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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.