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Finding the Fourth Proportional to 153,123.64, 211,368.36 and 89,482.12

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Solution

The fourth proportional to 153,123.64, 211,368.36 and 89,482.12 is: 123,519.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,123.64 : 211,368.36 = 89,482.12 : x
  2. Step 2: Convert to fraction form
    153,123.64/211,368.36 = 89,482.12/x
  3. Step 3: Cross multiply
    153,123.64x = 211,368.36 × 89,482.12
  4. Step 4: Simplify right side
    153,123.64x = 18,913,688,953.72
  5. Step 5: Solve for x
    x = 18,913,688,953.72/153,123.64
  6. Step 6: Final answer
    x = 123,519.07

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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.