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Finding the Fourth Proportional to 39,878.40, 59,817.60 and 30,547.20

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Solution

The fourth proportional to 39,878.40, 59,817.60 and 30,547.20 is: 45,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,878.40 : 59,817.60 = 30,547.20 : x
  2. Step 2: Convert to fraction form
    39,878.40/59,817.60 = 30,547.20/x
  3. Step 3: Cross multiply
    39,878.40x = 59,817.60 × 30,547.20
  4. Step 4: Simplify right side
    39,878.40x = 1,827,260,190.72
  5. Step 5: Solve for x
    x = 1,827,260,190.72/39,878.40
  6. Step 6: Final answer
    x = 45,820.80

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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.