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Finding the Fourth Proportional to 56,855.04, 78,459 and 31,363.89

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Solution

The fourth proportional to 56,855.04, 78,459 and 31,363.89 is: 43,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,855.04 : 78,459 = 31,363.89 : x
  2. Step 2: Convert to fraction form
    56,855.04/78,459 = 31,363.89/x
  3. Step 3: Cross multiply
    56,855.04x = 78,459 × 31,363.89
  4. Step 4: Simplify right side
    56,855.04x = 2,460,779,445.51
  5. Step 5: Solve for x
    x = 2,460,779,445.51/56,855.04
  6. Step 6: Final answer
    x = 43,281.64

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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.