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Finding the Fourth Proportional to 61,020, 84,148.47 and 47,586.36

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Solution

The fourth proportional to 61,020, 84,148.47 and 47,586.36 is: 65,623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,020 : 84,148.47 = 47,586.36 : x
  2. Step 2: Convert to fraction form
    61,020/84,148.47 = 47,586.36/x
  3. Step 3: Cross multiply
    61,020x = 84,148.47 × 47,586.36
  4. Step 4: Simplify right side
    61,020x = 4,004,319,386.87
  5. Step 5: Solve for x
    x = 4,004,319,386.87/61,020
  6. Step 6: Final answer
    x = 65,623.06

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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.