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Finding the Fourth Proportional to 102,551.74, 153,808.16 and 43,428.94

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Solution

The fourth proportional to 102,551.74, 153,808.16 and 43,428.94 is: 65,135.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,551.74 : 153,808.16 = 43,428.94 : x
  2. Step 2: Convert to fraction form
    102,551.74/153,808.16 = 43,428.94/x
  3. Step 3: Cross multiply
    102,551.74x = 153,808.16 × 43,428.94
  4. Step 4: Simplify right side
    102,551.74x = 6,679,725,352.15
  5. Step 5: Solve for x
    x = 6,679,725,352.15/102,551.74
  6. Step 6: Final answer
    x = 65,135.17

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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.