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Finding the Fourth Proportional to 105,865.40, 158,798.10 and 46,638.20

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Solution

The fourth proportional to 105,865.40, 158,798.10 and 46,638.20 is: 69,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,865.40 : 158,798.10 = 46,638.20 : x
  2. Step 2: Convert to fraction form
    105,865.40/158,798.10 = 46,638.20/x
  3. Step 3: Cross multiply
    105,865.40x = 158,798.10 × 46,638.20
  4. Step 4: Simplify right side
    105,865.40x = 7,406,057,547.42
  5. Step 5: Solve for x
    x = 7,406,057,547.42/105,865.40
  6. Step 6: Final answer
    x = 69,957.30

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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.