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Finding the Fourth Proportional to 145,856.35, 201,281.71 and 78,788.35

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Solution

The fourth proportional to 145,856.35, 201,281.71 and 78,788.35 is: 108,727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,856.35 : 201,281.71 = 78,788.35 : x
  2. Step 2: Convert to fraction form
    145,856.35/201,281.71 = 78,788.35/x
  3. Step 3: Cross multiply
    145,856.35x = 201,281.71 × 78,788.35
  4. Step 4: Simplify right side
    145,856.35x = 15,858,652,886.23
  5. Step 5: Solve for x
    x = 15,858,652,886.23/145,856.35
  6. Step 6: Final answer
    x = 108,727.89

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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.