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Finding the Fourth Proportional to 77,171.60, 106,509.12 and 45,348.32

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Solution

The fourth proportional to 77,171.60, 106,509.12 and 45,348.32 is: 62,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,171.60 : 106,509.12 = 45,348.32 : x
  2. Step 2: Convert to fraction form
    77,171.60/106,509.12 = 45,348.32/x
  3. Step 3: Cross multiply
    77,171.60x = 106,509.12 × 45,348.32
  4. Step 4: Simplify right side
    77,171.60x = 4,830,009,656.68
  5. Step 5: Solve for x
    x = 4,830,009,656.68/77,171.60
  6. Step 6: Final answer
    x = 62,587.92

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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.