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Finding the Fourth Proportional to 147,649.06, 221,538.48 and 77,512.06

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Solution

The fourth proportional to 147,649.06, 221,538.48 and 77,512.06 is: 116,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,649.06 : 221,538.48 = 77,512.06 : x
  2. Step 2: Convert to fraction form
    147,649.06/221,538.48 = 77,512.06/x
  3. Step 3: Cross multiply
    147,649.06x = 221,538.48 × 77,512.06
  4. Step 4: Simplify right side
    147,649.06x = 17,171,903,954.07
  5. Step 5: Solve for x
    x = 17,171,903,954.07/147,649.06
  6. Step 6: Final answer
    x = 116,302.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.