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Finding the Fourth Proportional to 153,106.66, 211,328.76 and 99,388.54

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Solution

The fourth proportional to 153,106.66, 211,328.76 and 99,388.54 is: 137,183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,106.66 : 211,328.76 = 99,388.54 : x
  2. Step 2: Convert to fraction form
    153,106.66/211,328.76 = 99,388.54/x
  3. Step 3: Cross multiply
    153,106.66x = 211,328.76 × 99,388.54
  4. Step 4: Simplify right side
    153,106.66x = 21,003,656,916.41
  5. Step 5: Solve for x
    x = 21,003,656,916.41/153,106.66
  6. Step 6: Final answer
    x = 137,183.17

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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.