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Finding the Fourth Proportional to 76,886.64, 106,114.16 and 45,068.24

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Solution

The fourth proportional to 76,886.64, 106,114.16 and 45,068.24 is: 62,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,886.64 : 106,114.16 = 45,068.24 : x
  2. Step 2: Convert to fraction form
    76,886.64/106,114.16 = 45,068.24/x
  3. Step 3: Cross multiply
    76,886.64x = 106,114.16 × 45,068.24
  4. Step 4: Simplify right side
    76,886.64x = 4,782,378,430.28
  5. Step 5: Solve for x
    x = 4,782,378,430.28/76,886.64
  6. Step 6: Final answer
    x = 62,200.38

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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.