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Finding the Fourth Proportional to 130,496, 180,084.66 and 70,880

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Solution

The fourth proportional to 130,496, 180,084.66 and 70,880 is: 97,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,496 : 180,084.66 = 70,880 : x
  2. Step 2: Convert to fraction form
    130,496/180,084.66 = 70,880/x
  3. Step 3: Cross multiply
    130,496x = 180,084.66 × 70,880
  4. Step 4: Simplify right side
    130,496x = 12,764,400,700.80
  5. Step 5: Solve for x
    x = 12,764,400,700.80/130,496
  6. Step 6: Final answer
    x = 97,814.50

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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.