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Finding the Fourth Proportional to 97,870.62, 135,071.91 and 55,430.94

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Solution

The fourth proportional to 97,870.62, 135,071.91 and 55,430.94 is: 76,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,870.62 : 135,071.91 = 55,430.94 : x
  2. Step 2: Convert to fraction form
    97,870.62/135,071.91 = 55,430.94/x
  3. Step 3: Cross multiply
    97,870.62x = 135,071.91 × 55,430.94
  4. Step 4: Simplify right side
    97,870.62x = 7,487,162,938.90
  5. Step 5: Solve for x
    x = 7,487,162,938.90/97,870.62
  6. Step 6: Final answer
    x = 76,500.62

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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.