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Finding the Fourth Proportional to 85,978.40, 128,967.60 and 57,984.80

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Solution

The fourth proportional to 85,978.40, 128,967.60 and 57,984.80 is: 86,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,978.40 : 128,967.60 = 57,984.80 : x
  2. Step 2: Convert to fraction form
    85,978.40/128,967.60 = 57,984.80/x
  3. Step 3: Cross multiply
    85,978.40x = 128,967.60 × 57,984.80
  4. Step 4: Simplify right side
    85,978.40x = 7,478,160,492.48
  5. Step 5: Solve for x
    x = 7,478,160,492.48/85,978.40
  6. Step 6: Final answer
    x = 86,977.20

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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.