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Finding the Fourth Proportional to 153,423, 211,614.66 and 102,410

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Solution

The fourth proportional to 153,423, 211,614.66 and 102,410 is: 141,252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,423 : 211,614.66 = 102,410 : x
  2. Step 2: Convert to fraction form
    153,423/211,614.66 = 102,410/x
  3. Step 3: Cross multiply
    153,423x = 211,614.66 × 102,410
  4. Step 4: Simplify right side
    153,423x = 21,671,457,330.60
  5. Step 5: Solve for x
    x = 21,671,457,330.60/153,423
  6. Step 6: Final answer
    x = 141,252.99

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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.