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Finding the Fourth Proportional to 105,746, 145,929.48 and 58,642

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Solution

The fourth proportional to 105,746, 145,929.48 and 58,642 is: 80,925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,746 : 145,929.48 = 58,642 : x
  2. Step 2: Convert to fraction form
    105,746/145,929.48 = 58,642/x
  3. Step 3: Cross multiply
    105,746x = 145,929.48 × 58,642
  4. Step 4: Simplify right side
    105,746x = 8,557,596,566.16
  5. Step 5: Solve for x
    x = 8,557,596,566.16/105,746
  6. Step 6: Final answer
    x = 80,925.96

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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.