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Finding the Fourth Proportional to 100,920.96, 139,256.64 and 57,312

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Solution

The fourth proportional to 100,920.96, 139,256.64 and 57,312 is: 79,082.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,920.96 : 139,256.64 = 57,312 : x
  2. Step 2: Convert to fraction form
    100,920.96/139,256.64 = 57,312/x
  3. Step 3: Cross multiply
    100,920.96x = 139,256.64 × 57,312
  4. Step 4: Simplify right side
    100,920.96x = 7,981,076,551.68
  5. Step 5: Solve for x
    x = 7,981,076,551.68/100,920.96
  6. Step 6: Final answer
    x = 79,082.45

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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.