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Finding the Fourth Proportional to 70,988.32, 97,966.74 and 40,782.16

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Solution

The fourth proportional to 70,988.32, 97,966.74 and 40,782.16 is: 56,281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,988.32 : 97,966.74 = 40,782.16 : x
  2. Step 2: Convert to fraction form
    70,988.32/97,966.74 = 40,782.16/x
  3. Step 3: Cross multiply
    70,988.32x = 97,966.74 × 40,782.16
  4. Step 4: Simplify right side
    70,988.32x = 3,995,295,265.36
  5. Step 5: Solve for x
    x = 3,995,295,265.36/70,988.32
  6. Step 6: Final answer
    x = 56,281.02

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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.