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Finding the Fourth Proportional to 134,537.63, 185,661.93 and 77,981.81

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Solution

The fourth proportional to 134,537.63, 185,661.93 and 77,981.81 is: 107,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,537.63 : 185,661.93 = 77,981.81 : x
  2. Step 2: Convert to fraction form
    134,537.63/185,661.93 = 77,981.81/x
  3. Step 3: Cross multiply
    134,537.63x = 185,661.93 × 77,981.81
  4. Step 4: Simplify right side
    134,537.63x = 14,478,253,349.49
  5. Step 5: Solve for x
    x = 14,478,253,349.49/134,537.63
  6. Step 6: Final answer
    x = 107,614.90

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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.