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Finding the Fourth Proportional to 249,964.74, 374,978.16 and 81,502.02

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Solution

The fourth proportional to 249,964.74, 374,978.16 and 81,502.02 is: 122,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,964.74 : 374,978.16 = 81,502.02 : x
  2. Step 2: Convert to fraction form
    249,964.74/374,978.16 = 81,502.02/x
  3. Step 3: Cross multiply
    249,964.74x = 374,978.16 × 81,502.02
  4. Step 4: Simplify right side
    249,964.74x = 30,561,477,495.88
  5. Step 5: Solve for x
    x = 30,561,477,495.88/249,964.74
  6. Step 6: Final answer
    x = 122,263.15

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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.