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Finding the Fourth Proportional to 105,269.40, 157,827.30 and 42,907.80

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Solution

The fourth proportional to 105,269.40, 157,827.30 and 42,907.80 is: 64,330.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,269.40 : 157,827.30 = 42,907.80 : x
  2. Step 2: Convert to fraction form
    105,269.40/157,827.30 = 42,907.80/x
  3. Step 3: Cross multiply
    105,269.40x = 157,827.30 × 42,907.80
  4. Step 4: Simplify right side
    105,269.40x = 6,772,022,222.94
  5. Step 5: Solve for x
    x = 6,772,022,222.94/105,269.40
  6. Step 6: Final answer
    x = 64,330.40

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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.