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Finding the Fourth Proportional to 117,312.81, 161,849.25 and 77,048.39

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Solution

The fourth proportional to 117,312.81, 161,849.25 and 77,048.39 is: 106,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,312.81 : 161,849.25 = 77,048.39 : x
  2. Step 2: Convert to fraction form
    117,312.81/161,849.25 = 77,048.39/x
  3. Step 3: Cross multiply
    117,312.81x = 161,849.25 × 77,048.39
  4. Step 4: Simplify right side
    117,312.81x = 12,470,223,325.96
  5. Step 5: Solve for x
    x = 12,470,223,325.96/117,312.81
  6. Step 6: Final answer
    x = 106,298.91

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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.