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Finding the Fourth Proportional to 57,075.48, 78,746.31 and 34,421.40

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Solution

The fourth proportional to 57,075.48, 78,746.31 and 34,421.40 is: 47,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,075.48 : 78,746.31 = 34,421.40 : x
  2. Step 2: Convert to fraction form
    57,075.48/78,746.31 = 34,421.40/x
  3. Step 3: Cross multiply
    57,075.48x = 78,746.31 × 34,421.40
  4. Step 4: Simplify right side
    57,075.48x = 2,710,558,235.03
  5. Step 5: Solve for x
    x = 2,710,558,235.03/57,075.48
  6. Step 6: Final answer
    x = 47,490.77

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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.