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Finding the Fourth Proportional to 105,590.02, 145,678.29 and 60,235.45

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Solution

The fourth proportional to 105,590.02, 145,678.29 and 60,235.45 is: 83,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,590.02 : 145,678.29 = 60,235.45 : x
  2. Step 2: Convert to fraction form
    105,590.02/145,678.29 = 60,235.45/x
  3. Step 3: Cross multiply
    105,590.02x = 145,678.29 × 60,235.45
  4. Step 4: Simplify right side
    105,590.02x = 8,774,997,353.38
  5. Step 5: Solve for x
    x = 8,774,997,353.38/105,590.02
  6. Step 6: Final answer
    x = 83,104.42

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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.