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Finding the Fourth Proportional to 243,091.94, 335,483.84 and 135,663.77

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Solution

The fourth proportional to 243,091.94, 335,483.84 and 135,663.77 is: 187,225.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,091.94 : 335,483.84 = 135,663.77 : x
  2. Step 2: Convert to fraction form
    243,091.94/335,483.84 = 135,663.77/x
  3. Step 3: Cross multiply
    243,091.94x = 335,483.84 × 135,663.77
  4. Step 4: Simplify right side
    243,091.94x = 45,513,000,152.74
  5. Step 5: Solve for x
    x = 45,513,000,152.74/243,091.94
  6. Step 6: Final answer
    x = 187,225.46

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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.