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Finding the Fourth Proportional to 105,294, 145,305.45 and 57,547.68

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Solution

The fourth proportional to 105,294, 145,305.45 and 57,547.68 is: 79,415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,294 : 145,305.45 = 57,547.68 : x
  2. Step 2: Convert to fraction form
    105,294/145,305.45 = 57,547.68/x
  3. Step 3: Cross multiply
    105,294x = 145,305.45 × 57,547.68
  4. Step 4: Simplify right side
    105,294x = 8,361,991,538.86
  5. Step 5: Solve for x
    x = 8,361,991,538.86/105,294
  6. Step 6: Final answer
    x = 79,415.65

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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.