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Finding the Fourth Proportional to 249,090.66, 343,746.45 and 135,915.84

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Solution

The fourth proportional to 249,090.66, 343,746.45 and 135,915.84 is: 187,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,090.66 : 343,746.45 = 135,915.84 : x
  2. Step 2: Convert to fraction form
    249,090.66/343,746.45 = 135,915.84/x
  3. Step 3: Cross multiply
    249,090.66x = 343,746.45 × 135,915.84
  4. Step 4: Simplify right side
    249,090.66x = 46,720,587,498.77
  5. Step 5: Solve for x
    x = 46,720,587,498.77/249,090.66
  6. Step 6: Final answer
    x = 187,564.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.