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Finding the Fourth Proportional to 143,166.79, 214,547.08 and 105,430.91

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Solution

The fourth proportional to 143,166.79, 214,547.08 and 105,430.91 is: 157,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,166.79 : 214,547.08 = 105,430.91 : x
  2. Step 2: Convert to fraction form
    143,166.79/214,547.08 = 105,430.91/x
  3. Step 3: Cross multiply
    143,166.79x = 214,547.08 × 105,430.91
  4. Step 4: Simplify right side
    143,166.79x = 22,619,894,359.63
  5. Step 5: Solve for x
    x = 22,619,894,359.63/143,166.79
  6. Step 6: Final answer
    x = 157,996.80

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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.