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Finding the Fourth Proportional to 64,986.40, 97,515.64 and 31,706.74

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Solution

The fourth proportional to 64,986.40, 97,515.64 and 31,706.74 is: 47,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,986.40 : 97,515.64 = 31,706.74 : x
  2. Step 2: Convert to fraction form
    64,986.40/97,515.64 = 31,706.74/x
  3. Step 3: Cross multiply
    64,986.40x = 97,515.64 × 31,706.74
  4. Step 4: Simplify right side
    64,986.40x = 3,091,902,397.30
  5. Step 5: Solve for x
    x = 3,091,902,397.30/64,986.40
  6. Step 6: Final answer
    x = 47,577.69

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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.