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Finding the Fourth Proportional to 147,703.60, 204,097.44 and 105,188.32

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Solution

The fourth proportional to 147,703.60, 204,097.44 and 105,188.32 is: 145,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,703.60 : 204,097.44 = 105,188.32 : x
  2. Step 2: Convert to fraction form
    147,703.60/204,097.44 = 105,188.32/x
  3. Step 3: Cross multiply
    147,703.60x = 204,097.44 × 105,188.32
  4. Step 4: Simplify right side
    147,703.60x = 21,468,666,829.90
  5. Step 5: Solve for x
    x = 21,468,666,829.90/147,703.60
  6. Step 6: Final answer
    x = 145,349.65

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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.