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Finding the Fourth Proportional to 77,070.55, 106,358.10 and 45,239.98

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Solution

The fourth proportional to 77,070.55, 106,358.10 and 45,239.98 is: 62,431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,070.55 : 106,358.10 = 45,239.98 : x
  2. Step 2: Convert to fraction form
    77,070.55/106,358.10 = 45,239.98/x
  3. Step 3: Cross multiply
    77,070.55x = 106,358.10 × 45,239.98
  4. Step 4: Simplify right side
    77,070.55x = 4,811,638,090.64
  5. Step 5: Solve for x
    x = 4,811,638,090.64/77,070.55
  6. Step 6: Final answer
    x = 62,431.60

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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.