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Finding the Fourth Proportional to 105,875.81, 158,673.51 and 77,663.78

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Solution

The fourth proportional to 105,875.81, 158,673.51 and 77,663.78 is: 116,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,875.81 : 158,673.51 = 77,663.78 : x
  2. Step 2: Convert to fraction form
    105,875.81/158,673.51 = 77,663.78/x
  3. Step 3: Cross multiply
    105,875.81x = 158,673.51 × 77,663.78
  4. Step 4: Simplify right side
    105,875.81x = 12,323,183,779.10
  5. Step 5: Solve for x
    x = 12,323,183,779.10/105,875.81
  6. Step 6: Final answer
    x = 116,392.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.