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Finding the Fourth Proportional to 117,415, 161,925.78 and 99,303.66

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Solution

The fourth proportional to 117,415, 161,925.78 and 99,303.66 is: 136,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,415 : 161,925.78 = 99,303.66 : x
  2. Step 2: Convert to fraction form
    117,415/161,925.78 = 99,303.66/x
  3. Step 3: Cross multiply
    117,415x = 161,925.78 × 99,303.66
  4. Step 4: Simplify right side
    117,415x = 16,079,822,602.35
  5. Step 5: Solve for x
    x = 16,079,822,602.35/117,415
  6. Step 6: Final answer
    x = 136,948.62

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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.