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Finding the Fourth Proportional to 130,482, 180,065.16 and 70,866

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Solution

The fourth proportional to 130,482, 180,065.16 and 70,866 is: 97,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,482 : 180,065.16 = 70,866 : x
  2. Step 2: Convert to fraction form
    130,482/180,065.16 = 70,866/x
  3. Step 3: Cross multiply
    130,482x = 180,065.16 × 70,866
  4. Step 4: Simplify right side
    130,482x = 12,760,497,628.56
  5. Step 5: Solve for x
    x = 12,760,497,628.56/130,482
  6. Step 6: Final answer
    x = 97,795.08

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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.