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Finding the Fourth Proportional to 170,437.60, 255,656.40 and 77,125.60

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Solution

The fourth proportional to 170,437.60, 255,656.40 and 77,125.60 is: 115,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,437.60 : 255,656.40 = 77,125.60 : x
  2. Step 2: Convert to fraction form
    170,437.60/255,656.40 = 77,125.60/x
  3. Step 3: Cross multiply
    170,437.60x = 255,656.40 × 77,125.60
  4. Step 4: Simplify right side
    170,437.60x = 19,717,653,243.84
  5. Step 5: Solve for x
    x = 19,717,653,243.84/170,437.60
  6. Step 6: Final answer
    x = 115,688.40

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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.