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Finding the Fourth Proportional to 51,903.20, 77,854.80 and 35,314.40

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Solution

The fourth proportional to 51,903.20, 77,854.80 and 35,314.40 is: 52,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,903.20 : 77,854.80 = 35,314.40 : x
  2. Step 2: Convert to fraction form
    51,903.20/77,854.80 = 35,314.40/x
  3. Step 3: Cross multiply
    51,903.20x = 77,854.80 × 35,314.40
  4. Step 4: Simplify right side
    51,903.20x = 2,749,395,549.12
  5. Step 5: Solve for x
    x = 2,749,395,549.12/51,903.20
  6. Step 6: Final answer
    x = 52,971.60

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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.