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Finding the Fourth Proportional to 152,101.40, 228,152.10 and 39,781.40

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Solution

The fourth proportional to 152,101.40, 228,152.10 and 39,781.40 is: 59,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,101.40 : 228,152.10 = 39,781.40 : x
  2. Step 2: Convert to fraction form
    152,101.40/228,152.10 = 39,781.40/x
  3. Step 3: Cross multiply
    152,101.40x = 228,152.10 × 39,781.40
  4. Step 4: Simplify right side
    152,101.40x = 9,076,209,950.94
  5. Step 5: Solve for x
    x = 9,076,209,950.94/152,101.40
  6. Step 6: Final answer
    x = 59,672.10

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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.