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Finding the Fourth Proportional to 105,165.60, 157,748.40 and 103,437.60

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Solution

The fourth proportional to 105,165.60, 157,748.40 and 103,437.60 is: 155,156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,165.60 : 157,748.40 = 103,437.60 : x
  2. Step 2: Convert to fraction form
    105,165.60/157,748.40 = 103,437.60/x
  3. Step 3: Cross multiply
    105,165.60x = 157,748.40 × 103,437.60
  4. Step 4: Simplify right side
    105,165.60x = 16,317,115,899.84
  5. Step 5: Solve for x
    x = 16,317,115,899.84/105,165.60
  6. Step 6: Final answer
    x = 155,156.40

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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.