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Finding the Fourth Proportional to 105,095.60, 145,035.01 and 57,352.02

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Solution

The fourth proportional to 105,095.60, 145,035.01 and 57,352.02 is: 79,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,095.60 : 145,035.01 = 57,352.02 : x
  2. Step 2: Convert to fraction form
    105,095.60/145,035.01 = 57,352.02/x
  3. Step 3: Cross multiply
    105,095.60x = 145,035.01 × 57,352.02
  4. Step 4: Simplify right side
    105,095.60x = 8,318,051,223.16
  5. Step 5: Solve for x
    x = 8,318,051,223.16/105,095.60
  6. Step 6: Final answer
    x = 79,147.47

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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.