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Finding the Fourth Proportional to 76,354.21, 105,369.45 and 42,364.93

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Solution

The fourth proportional to 76,354.21, 105,369.45 and 42,364.93 is: 58,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,354.21 : 105,369.45 = 42,364.93 : x
  2. Step 2: Convert to fraction form
    76,354.21/105,369.45 = 42,364.93/x
  3. Step 3: Cross multiply
    76,354.21x = 105,369.45 × 42,364.93
  4. Step 4: Simplify right side
    76,354.21x = 4,463,969,373.39
  5. Step 5: Solve for x
    x = 4,463,969,373.39/76,354.21
  6. Step 6: Final answer
    x = 58,463.96

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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.