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Finding the Fourth Proportional to 70,988.16, 97,975.26 and 42,309.30

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Solution

The fourth proportional to 70,988.16, 97,975.26 and 42,309.30 is: 58,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,988.16 : 97,975.26 = 42,309.30 : x
  2. Step 2: Convert to fraction form
    70,988.16/97,975.26 = 42,309.30/x
  3. Step 3: Cross multiply
    70,988.16x = 97,975.26 × 42,309.30
  4. Step 4: Simplify right side
    70,988.16x = 4,145,264,667.92
  5. Step 5: Solve for x
    x = 4,145,264,667.92/70,988.16
  6. Step 6: Final answer
    x = 58,393.75

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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.