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Finding the Fourth Proportional to 70,665.75, 97,512.98 and 40,444.16

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Solution

The fourth proportional to 70,665.75, 97,512.98 and 40,444.16 is: 55,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,665.75 : 97,512.98 = 40,444.16 : x
  2. Step 2: Convert to fraction form
    70,665.75/97,512.98 = 40,444.16/x
  3. Step 3: Cross multiply
    70,665.75x = 97,512.98 × 40,444.16
  4. Step 4: Simplify right side
    70,665.75x = 3,943,829,875.41
  5. Step 5: Solve for x
    x = 3,943,829,875.41/70,665.75
  6. Step 6: Final answer
    x = 55,809.64

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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.