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Finding the Fourth Proportional to 55,893, 83,847.80 and 18,457

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Solution

The fourth proportional to 55,893, 83,847.80 and 18,457 is: 27,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,893 : 83,847.80 = 18,457 : x
  2. Step 2: Convert to fraction form
    55,893/83,847.80 = 18,457/x
  3. Step 3: Cross multiply
    55,893x = 83,847.80 × 18,457
  4. Step 4: Simplify right side
    55,893x = 1,547,578,844.60
  5. Step 5: Solve for x
    x = 1,547,578,844.60/55,893
  6. Step 6: Final answer
    x = 27,688.24

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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.