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Finding the Fourth Proportional to 105,316, 158,036.34 and 38,802.96

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Solution

The fourth proportional to 105,316, 158,036.34 and 38,802.96 is: 58,227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,316 : 158,036.34 = 38,802.96 : x
  2. Step 2: Convert to fraction form
    105,316/158,036.34 = 38,802.96/x
  3. Step 3: Cross multiply
    105,316x = 158,036.34 × 38,802.96
  4. Step 4: Simplify right side
    105,316x = 6,132,277,779.57
  5. Step 5: Solve for x
    x = 6,132,277,779.57/105,316
  6. Step 6: Final answer
    x = 58,227.41

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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.