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Finding the Fourth Proportional to 97,698.53, 134,677 and 76,440.89

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Solution

The fourth proportional to 97,698.53, 134,677 and 76,440.89 is: 105,373.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,698.53 : 134,677 = 76,440.89 : x
  2. Step 2: Convert to fraction form
    97,698.53/134,677 = 76,440.89/x
  3. Step 3: Cross multiply
    97,698.53x = 134,677 × 76,440.89
  4. Step 4: Simplify right side
    97,698.53x = 10,294,829,742.53
  5. Step 5: Solve for x
    x = 10,294,829,742.53/97,698.53
  6. Step 6: Final answer
    x = 105,373.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.