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Finding the Fourth Proportional to 210,155.76, 314,909.64 and 103,417.20

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Solution

The fourth proportional to 210,155.76, 314,909.64 and 103,417.20 is: 154,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,155.76 : 314,909.64 = 103,417.20 : x
  2. Step 2: Convert to fraction form
    210,155.76/314,909.64 = 103,417.20/x
  3. Step 3: Cross multiply
    210,155.76x = 314,909.64 × 103,417.20
  4. Step 4: Simplify right side
    210,155.76x = 32,567,073,221.81
  5. Step 5: Solve for x
    x = 32,567,073,221.81/210,155.76
  6. Step 6: Final answer
    x = 154,966.36

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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.