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Finding the Fourth Proportional to 210,289.71, 315,199.43 and 110,460.45

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Solution

The fourth proportional to 210,289.71, 315,199.43 and 110,460.45 is: 165,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,289.71 : 315,199.43 = 110,460.45 : x
  2. Step 2: Convert to fraction form
    210,289.71/315,199.43 = 110,460.45/x
  3. Step 3: Cross multiply
    210,289.71x = 315,199.43 × 110,460.45
  4. Step 4: Simplify right side
    210,289.71x = 34,817,071,153.69
  5. Step 5: Solve for x
    x = 34,817,071,153.69/210,289.71
  6. Step 6: Final answer
    x = 165,567.17

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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.