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Finding the Fourth Proportional to 76,802.40, 106,017.60 and 74,311.20

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Solution

The fourth proportional to 76,802.40, 106,017.60 and 74,311.20 is: 102,578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,802.40 : 106,017.60 = 74,311.20 : x
  2. Step 2: Convert to fraction form
    76,802.40/106,017.60 = 74,311.20/x
  3. Step 3: Cross multiply
    76,802.40x = 106,017.60 × 74,311.20
  4. Step 4: Simplify right side
    76,802.40x = 7,878,295,077.12
  5. Step 5: Solve for x
    x = 7,878,295,077.12/76,802.40
  6. Step 6: Final answer
    x = 102,578.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.