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Finding the Fourth Proportional to 130,020.10, 182,421.80 and 130,020.10

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Solution

The fourth proportional to 130,020.10, 182,421.80 and 130,020.10 is: 182,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,020.10 : 182,421.80 = 130,020.10 : x
  2. Step 2: Convert to fraction form
    130,020.10/182,421.80 = 130,020.10/x
  3. Step 3: Cross multiply
    130,020.10x = 182,421.80 × 130,020.10
  4. Step 4: Simplify right side
    130,020.10x = 23,718,500,678.18
  5. Step 5: Solve for x
    x = 23,718,500,678.18/130,020.10
  6. Step 6: Final answer
    x = 182,421.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.