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Finding the Fourth Proportional to 105,690.70, 145,862.36 and 57,953.35

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Solution

The fourth proportional to 105,690.70, 145,862.36 and 57,953.35 is: 79,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,690.70 : 145,862.36 = 57,953.35 : x
  2. Step 2: Convert to fraction form
    105,690.70/145,862.36 = 57,953.35/x
  3. Step 3: Cross multiply
    105,690.70x = 145,862.36 × 57,953.35
  4. Step 4: Simplify right side
    105,690.70x = 8,453,212,400.91
  5. Step 5: Solve for x
    x = 8,453,212,400.91/105,690.70
  6. Step 6: Final answer
    x = 79,980.66

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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.