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Finding the Fourth Proportional to 147,402, 203,447.61 and 93,676.50

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Solution

The fourth proportional to 147,402, 203,447.61 and 93,676.50 is: 129,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,402 : 203,447.61 = 93,676.50 : x
  2. Step 2: Convert to fraction form
    147,402/203,447.61 = 93,676.50/x
  3. Step 3: Cross multiply
    147,402x = 203,447.61 × 93,676.50
  4. Step 4: Simplify right side
    147,402x = 19,058,260,038.17
  5. Step 5: Solve for x
    x = 19,058,260,038.17/147,402
  6. Step 6: Final answer
    x = 129,294.45

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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.