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Finding the Fourth Proportional to 140,454, 210,681 and 46,962.18

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Solution

The fourth proportional to 140,454, 210,681 and 46,962.18 is: 70,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,454 : 210,681 = 46,962.18 : x
  2. Step 2: Convert to fraction form
    140,454/210,681 = 46,962.18/x
  3. Step 3: Cross multiply
    140,454x = 210,681 × 46,962.18
  4. Step 4: Simplify right side
    140,454x = 9,894,039,044.58
  5. Step 5: Solve for x
    x = 9,894,039,044.58/140,454
  6. Step 6: Final answer
    x = 70,443.27

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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.