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Finding the Fourth Proportional to 190,710.76, 286,159.06 and 78,424.72

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Solution

The fourth proportional to 190,710.76, 286,159.06 and 78,424.72 is: 117,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,710.76 : 286,159.06 = 78,424.72 : x
  2. Step 2: Convert to fraction form
    190,710.76/286,159.06 = 78,424.72/x
  3. Step 3: Cross multiply
    190,710.76x = 286,159.06 × 78,424.72
  4. Step 4: Simplify right side
    190,710.76x = 22,441,944,155.96
  5. Step 5: Solve for x
    x = 22,441,944,155.96/190,710.76
  6. Step 6: Final answer
    x = 117,675.29

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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.