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Finding the Fourth Proportional to 152,649.40, 228,995.70 and 47,457.40

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Solution

The fourth proportional to 152,649.40, 228,995.70 and 47,457.40 is: 71,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,649.40 : 228,995.70 = 47,457.40 : x
  2. Step 2: Convert to fraction form
    152,649.40/228,995.70 = 47,457.40/x
  3. Step 3: Cross multiply
    152,649.40x = 228,995.70 × 47,457.40
  4. Step 4: Simplify right side
    152,649.40x = 10,867,540,533.18
  5. Step 5: Solve for x
    x = 10,867,540,533.18/152,649.40
  6. Step 6: Final answer
    x = 71,192.82

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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.