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Finding the Fourth Proportional to 209,376.81, 313,946.21 and 142,897.47

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Solution

The fourth proportional to 209,376.81, 313,946.21 and 142,897.47 is: 214,264.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,376.81 : 313,946.21 = 142,897.47 : x
  2. Step 2: Convert to fraction form
    209,376.81/313,946.21 = 142,897.47/x
  3. Step 3: Cross multiply
    209,376.81x = 313,946.21 × 142,897.47
  4. Step 4: Simplify right side
    209,376.81x = 44,862,118,410.60
  5. Step 5: Solve for x
    x = 44,862,118,410.60/209,376.81
  6. Step 6: Final answer
    x = 214,264.98

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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.