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Finding the Fourth Proportional to 252,426, 348,354.42 and 137,706.51

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Solution

The fourth proportional to 252,426, 348,354.42 and 137,706.51 is: 190,038.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,426 : 348,354.42 = 137,706.51 : x
  2. Step 2: Convert to fraction form
    252,426/348,354.42 = 137,706.51/x
  3. Step 3: Cross multiply
    252,426x = 348,354.42 × 137,706.51
  4. Step 4: Simplify right side
    252,426x = 47,970,671,421.27
  5. Step 5: Solve for x
    x = 47,970,671,421.27/252,426
  6. Step 6: Final answer
    x = 190,038.55

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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.