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Finding the Fourth Proportional to 120,547.40, 180,821.10 and 115,428.20

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Solution

The fourth proportional to 120,547.40, 180,821.10 and 115,428.20 is: 173,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,547.40 : 180,821.10 = 115,428.20 : x
  2. Step 2: Convert to fraction form
    120,547.40/180,821.10 = 115,428.20/x
  3. Step 3: Cross multiply
    120,547.40x = 180,821.10 × 115,428.20
  4. Step 4: Simplify right side
    120,547.40x = 20,871,854,095.02
  5. Step 5: Solve for x
    x = 20,871,854,095.02/120,547.40
  6. Step 6: Final answer
    x = 173,142.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.