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Finding the Fourth Proportional to 105,690.93, 145,768.77 and 92,916.96

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Solution

The fourth proportional to 105,690.93, 145,768.77 and 92,916.96 is: 128,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,690.93 : 145,768.77 = 92,916.96 : x
  2. Step 2: Convert to fraction form
    105,690.93/145,768.77 = 92,916.96/x
  3. Step 3: Cross multiply
    105,690.93x = 145,768.77 × 92,916.96
  4. Step 4: Simplify right side
    105,690.93x = 13,544,390,971.34
  5. Step 5: Solve for x
    x = 13,544,390,971.34/105,690.93
  6. Step 6: Final answer
    x = 128,150.93

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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.