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Finding the Fourth Proportional to 145,842.47, 201,262.74 and 78,774.47

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Solution

The fourth proportional to 145,842.47, 201,262.74 and 78,774.47 is: 108,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,842.47 : 201,262.74 = 78,774.47 : x
  2. Step 2: Convert to fraction form
    145,842.47/201,262.74 = 78,774.47/x
  3. Step 3: Cross multiply
    145,842.47x = 201,262.74 × 78,774.47
  4. Step 4: Simplify right side
    145,842.47x = 15,854,364,667.93
  5. Step 5: Solve for x
    x = 15,854,364,667.93/145,842.47
  6. Step 6: Final answer
    x = 108,708.84

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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.