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Finding the Fourth Proportional to 70,521, 97,315.74 and 42,242.28

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Solution

The fourth proportional to 70,521, 97,315.74 and 42,242.28 is: 58,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,521 : 97,315.74 = 42,242.28 : x
  2. Step 2: Convert to fraction form
    70,521/97,315.74 = 42,242.28/x
  3. Step 3: Cross multiply
    70,521x = 97,315.74 × 42,242.28
  4. Step 4: Simplify right side
    70,521x = 4,110,838,737.49
  5. Step 5: Solve for x
    x = 4,110,838,737.49/70,521
  6. Step 6: Final answer
    x = 58,292.41

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1.5x scale

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.