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Finding the Fourth Proportional to 157,126.84, 216,831.94 and 85,508.06

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Solution

The fourth proportional to 157,126.84, 216,831.94 and 85,508.06 is: 117,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,126.84 : 216,831.94 = 85,508.06 : x
  2. Step 2: Convert to fraction form
    157,126.84/216,831.94 = 85,508.06/x
  3. Step 3: Cross multiply
    157,126.84x = 216,831.94 × 85,508.06
  4. Step 4: Simplify right side
    157,126.84x = 18,540,877,237.51
  5. Step 5: Solve for x
    x = 18,540,877,237.51/157,126.84
  6. Step 6: Final answer
    x = 117,999.43

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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.